For impressing upon me their appreciation of nature and the importance of critical thinking, I dedicate this thesis to my late grandfathers: Lawrence Silas Carr and Dwight Herrick Macduff. I also thank my living family members for being patient with me and forgiving my forgetfulness of birthdays and other special occasions during these seven:years at MIT. I have been influenced by a great number of excellent teachers who believed in me and pushed me to excel beyond what I imagined possible. Most notable for my scientific and analytical development are my human-genetics high-school teacher, Mr. Gordon Mendenhall; Mr. Dan Stiko, high-school teacher of several math courses; my undergraduate mentor, Professor Douglas Cavener; and, of course, my...